Question: How can a Doyle spiral be coded in Maple?

The wikipedia website below contains a general description of Doyle spirals but not the full mathematics of their construction.

The website below apparently contains the html coding for an animated display of Doyle spirals, but I am not familiar with this coding language.

Can anyone direct me to 1) the complete mathematics describing the construction of a Doyle spiral and/or

                                        2) a Maple worksheet which codes for the display of a Doyle spiral?

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